RP$2$ - meaning and definition. What is RP$2$
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What (who) is RP$2$ - definition

A COMPACT NON-ORIENTABLE TWO-DIMENSIONAL MANIFOLD
RP^2
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  • A hemisphere can represent a real projective plane by attaching opposite points on the equator together.
  • The [[tetrahemihexahedron]] is a polyhedral representation of the real projective plane.

2-inch RP         
  • The R4M set the pattern for airborne rockets to this day.
1950S ROCKET WEAPON DEVELOPED BY THE UK ROYAL NAVY
The 2-inch RP, short for Rocket Projectile, 2-inch, Number 1 Mark 1, was an unguided rocket weapon developed by the Royal Navy in the 1950s. It is generally similar to contemporary rockets like the SNEB and FFAR, although somewhat smaller.
RP         
WIKIMEDIA DISAMBIGUATION PAGE
RP (disambiguation); RP; Rp (disambiguation); R.P.; R.p.; Rp.; R P
¦ abbreviation received pronunciation.
RP         
WIKIMEDIA DISAMBIGUATION PAGE
RP (disambiguation); RP; Rp (disambiguation); R.P.; R.p.; Rp.; R P
RP is a way of pronouncing British English that is often considered to be the standard accent. Pronunciations in this dictionary are given in RP. RP is an abbreviation for 'Received Pronunciation'.

Wikipedia

Real projective plane

In mathematics, the real projective plane is an example of a compact non-orientable two-dimensional manifold; in other words, a one-sided surface. It cannot be embedded in standard three-dimensional space without intersecting itself. It has basic applications to geometry, since the common construction of the real projective plane is as the space of lines in R 3 {\displaystyle \mathbb {R} ^{3}} passing through the origin.

The plane is also often described topologically, in terms of a construction based on the Möbius strip: if one could glue the (single) edge of the Möbius strip to itself in the correct direction, one would obtain the projective plane. (This cannot be done in three-dimensional space without the surface intersecting itself.) Equivalently, gluing a disk along the boundary of the Möbius strip gives the projective plane. Topologically, it has Euler characteristic 1, hence a demigenus (non-orientable genus, Euler genus) of 1.

Since the Möbius strip, in turn, can be constructed from a square by gluing two of its sides together with a half-twist, the real projective plane can thus be represented as a unit square (that is, [0, 1] × [0,1]) with its sides identified by the following equivalence relations:

(0, y) ~ (1, 1 − y) for 0 ≤ y ≤ 1

and

(x, 0) ~ (1 − x, 1) for 0 ≤ x ≤ 1,

as in the leftmost diagram shown here.